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Under which one of the following conditi...

Under which one of the following conditions will the two planes `x+y+z=7 and alphax+betay+gammaz=3`, be parallel (but not coincident)?

A

`alpha=beta=gamma=1` only

B

`alpha=beta=gamma=1/7` only

C

`alpha=beta=gamma`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Given equation of planes are:
`x+y+z=7`
and `alphax+betay+gammaz=3`
For these planes to be parallel, coefficients of x, y and z should ne same i.e.
`rArr alpha=beta-gamma`
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